Hexagonal fuzzy number and its distinctive representation, ranking, defuzzification technique and application in production inventory management problem

In this article, we envisage the hexagonal number from various distinct rational perspectives and viewpoints to give it a look of a conundrum. Hexagonal fuzzy number is used as an authoritative logic to ease understanding of vagueness information. This article portrays an impression of different representation, ranking, defuzzification and application of hexagonal fuzzy number. Additionally, disjunctive types of linear and nonlinear hexagonal fuzzy numbers both with symmetry and asymmetry are addressed here along with its graphical representation. Further, a new ranking method is established and two different kinds of approaches to computing the defuzzification of hexagonal fuzzy number are fabricated in this research arena. Finally, one production inventory management problem has been analyzed and solved in the hexagonal fuzzy environment along with the numerical sensitivity analysis tables. This real-life problem plays a crucial role to demonstrate the effectiveness of this method compared to the usual results in crisps environment. This noble thought will help us to solve a plethora of daily-life problems in uncertainty arena.